7x(x+2)-3(x+1)=47

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Solution for 7x(x+2)-3(x+1)=47 equation:


Simplifying
7x(x + 2) + -3(x + 1) = 47

Reorder the terms:
7x(2 + x) + -3(x + 1) = 47
(2 * 7x + x * 7x) + -3(x + 1) = 47
(14x + 7x2) + -3(x + 1) = 47

Reorder the terms:
14x + 7x2 + -3(1 + x) = 47
14x + 7x2 + (1 * -3 + x * -3) = 47
14x + 7x2 + (-3 + -3x) = 47

Reorder the terms:
-3 + 14x + -3x + 7x2 = 47

Combine like terms: 14x + -3x = 11x
-3 + 11x + 7x2 = 47

Solving
-3 + 11x + 7x2 = 47

Solving for variable 'x'.

Reorder the terms:
-3 + -47 + 11x + 7x2 = 47 + -47

Combine like terms: -3 + -47 = -50
-50 + 11x + 7x2 = 47 + -47

Combine like terms: 47 + -47 = 0
-50 + 11x + 7x2 = 0

Factor a trinomial.
(-25 + -7x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-25 + -7x)' equal to zero and attempt to solve:

Simplifying
-25 + -7x = 0

Solving
-25 + -7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 25 + -7x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -7x = 0 + 25
-7x = 0 + 25

Combine like terms: 0 + 25 = 25
-7x = 25

Divide each side by '-7'.
x = -3.571428571

Simplifying
x = -3.571428571

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-3.571428571, 2}

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